GCD of 289, 206, 107, 214 Calculator

Given Input numbers are 289, 206, 107, 214

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 289, 206, 107, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 289, 206, 107, 214 is 1.

Therefore, GCD of numbers 289, 206, 107, 214 is 1

Given Input Data is 289, 206, 107, 214

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 289 is 17 x 17

Prime Factorization of 206 is 2 x 103

Prime Factorization of 107 is 107

Prime Factorization of 214 is 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(289, 206) = 59534

GCD(289, 206) = ( 289 x 206 ) / 59534

GCD(289, 206) = 59534 / 59534

GCD(289, 206) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 107

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

GCD(1, 107) = 107 / 107

GCD(1, 107) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 289, 206, 107, 214 is 1

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1. What is the GCD of 289, 206, 107, 214?

GCD of 289, 206, 107, 214 is 1

2. Where do I get the detailed procedure to find GCD of 289, 206, 107, 214?

You can find a detailed procedure to find GCD of 289, 206, 107, 214 on our page.

3. How to find GCD of 289, 206, 107, 214 on a calculator?

You can find the GCD of 289, 206, 107, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.